Runge--Kutta methods determined from extended phase space methods for Hamiltonian systems
Numerical Analysis
2023-08-15 v1 Numerical Analysis
Computational Physics
Abstract
We study two existing extended phase space integrators for Hamiltonian systems, the {\em midpoint projection method} and the {\em symmetric projection method}, showing that the first is a pseudosymplectic and pseudosymmetric Runge--Kutta method and the second is a monoimplicit symplectic Runge--Kutta method.
Keywords
Cite
@article{arxiv.2308.06516,
title = {Runge--Kutta methods determined from extended phase space methods for Hamiltonian systems},
author = {Robert I McLachlan},
journal= {arXiv preprint arXiv:2308.06516},
year = {2023}
}